1. 8.4 Polynomials

2. Polynomials A polynomial is a monomial or a sum of monomials. Binomial: sum of two monomials Trinomial: sum of three monomials

3. Polynomials MonomialsBinomialsTrinomials 3x 8 5y-2X+2y-z -5xyz 2 4b 2 +6bX 2 +5x-7 5h5-6y4a 2 -2b+6

4. Polynomials Degree of a monomial is the sum of the exponents of the variables. Degree of a polynomials is the greatest degree of any of its’ monomials. MonomialDegree 8y 3 3 6y 3 b 8 k12 180 Polynomial Degree of terms Degree of the polynomials 3x 2 +4xy 3 +2 2, 4, 0 4 7y 4 +3xy-8x 3 y 2 4, 2, 5 5

5. Polynomials Ascending order goes up. Descending order goes down. Look at the exponent of the variable you are arranging. All the other variables exponents don’t matter. 5x 4 y 2 +8x 9 y 7 -19xy 3 +x 5 y

6. Practice Problems Page: 434 Problems: 15-36, 45, 48, 51